505237457 has 2 divisors, whose sum is σ = 505237458. Its totient is φ = 505237456.

The previous prime is 505237423. The next prime is 505237459. The reversal of 505237457 is 754732505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 302203456 + 203034001 = 17384^2 + 14249^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-505237457 is a prime.

Together with 505237459, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 505237457.

It is not a weakly prime, because it can be changed into another prime (505237459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252618728 + 252618729.

It is an arithmetic number, because the mean of its divisors is an integer number (252618729).

Almost surely, 2^505237457 is an apocalyptic number.

It is an amenable number.

505237457 is a deficient number, since it is larger than the sum of its proper divisors (1).

505237457 is an equidigital number, since it uses as much as digits as its factorization.

505237457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 147000, while the sum is 38.

The square root of 505237457 is about 22477.4877822234. The cubic root of 505237457 is about 796.4622203935.

The spelling of 505237457 in words is "five hundred five million, two hundred thirty-seven thousand, four hundred fifty-seven".